Finding the composition of a mixture at equlibrium

AI Thread Summary
The discussion revolves around calculating the equilibrium composition of a mixture of N2 and O2 at 3900°C, given the reaction N2(g) + O2(g) ⇌ 2 NO(g) with Kc = 0.0123. The user initially created an I.C.E table to track the concentrations of the reactants and products. After setting up the Kc expression and forming a quadratic equation, they realized they mistakenly used a value from a different problem, which led to incorrect results. Upon correcting this error, the user affirmed that their method for solving the equilibrium composition was sound. The thread highlights the importance of careful value selection in equilibrium calculations.
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Homework Statement



Initially a mixture contains 0.723 mol each of N2 and O2 in an 7.20 L vessel. Find the composition of the mixture when equilibrium is reached at 3900°C. For the reaction below, the Kc = 0.0123 at 3900°C.
N2(g) + O2(g) 2 NO(g)



Homework Equations


I.C.E Tables (not an equation but relevant) and the quadtratic formula

x=-b +or- sq root(b^2 -4ac) / 2a


The Attempt at a Solution



I did my I.C.E Table
Conc.(M) N2 + O2 --> 2 NO
Start 0.6025 0.6025 0
Change -x -x 2x
Eq. 0.6025-x 0.6025-x 2x

Then I plugged that into my Kc formula
Kc=[products]/[reactants]
0.0123=[2x]^2/[0.6025-x][0.6025-x]

I then rearranged that to get a quadratic equation to solve for x (this is where I think I made a mistake)
-324x^2 -1.205x +0.3630=0
I plugged it into the quadratic formula and
got 0.03166 for x, which i plugged into the equations from the EQ. line in my I.C.E table, however when i plugged those values into the Kc formula, i didn't come out with the Kc value I was given (0.0123)

Can anyone help?
 
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nevermind, I was (stupidly) using a value from another question, but my method was right.
 
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